in 2001, when I bought the CD, Craig (webmaster of D.W.I.'s website) wrote me:
To answer your question, the band name "D.W.I." doesn't really have a meaning.
In America, D.W.I. stands for "driving while intoxicated". This is not what
the band intended. It can be whatever you want it to be, like "drunks with
instruments" for example.